2. Which of the following vectors is equal to vector with initial point (3, 7) and
terminal point (-5, -3)?
f. u= <2,-10>
g. u = <-2,-4>
h, u =<-8,4>
j. u = <-8,-10>

Answer:

30°  is one of the degree measures of the angles.

Hence, option (A) is true.

Step-by-step explanation:

Given that the degree measure of one of two complementary angles is twice that of the other.

Complementary angles

Thus the equation becomes

x + 2x = 90°

3x =  90°

Divide both equations by 3

3x/3 = 90°/3

x = 30°

Therefore, 30°  is one of the degree measures of the angles.

Hence, option (A) is true.

The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?

A.) 30 degrees

Let one angle = x

According to statement,

Another angle = 2 × first angle

[tex] \sf : \implies Another \: angle = 2x[/tex]

Now, we know that sum of complementary angles is 90°

Hence,

[tex] \sf : \implies x + 2x = 90^{\circ}[/tex]

[tex] \sf : \implies 3x = 90^{\circ}[/tex]

[tex] \sf : \implies x = \dfrac{\cancel{90}^{\circ}}{\cancel{3}}[/tex]

[tex] \sf : \implies x = 30^{\circ}[/tex]

[tex] \Large \underline{\boxed{\sf{ x = 30^{\circ} }}}[/tex]

Therefore, one of the angle is 30°.

Another angle = 2 × 30° = 60°

Answer:

The remainder is 12.

Step-by-step explanation:

The Polynomial Remainder Theorem

The remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).

We are given the polynomial:

[tex]p (x ) = x^3 - 3x^2 - 10x + 24[/tex]

And we are required to find the remainder when p(x) is divided by (x-1).

We can simply apply the polynomial remainder theorem, substituting x for 1 in the polynomial:

[tex]Remainder=p (1 ) = 1^3 - 3\cdot 1^2 - 10(1) + 24[/tex]

Remainder= 1 - 3 - 10 + 24 = 12

The remainder is 12.

Answer:

D. 4

Step-by-step explanation:

∆VWZ ~ ∆VXY, therefore:

[tex] \frac{VW}{VX} = \frac{VZ}{VY} [/tex]

VW = 8

VX = 8 + WX

VZ = 18

VY = 27

Plug in the values

[tex] \frac{8}{8 + WX} = \frac{18}{27} [/tex]

Cross multiply

[tex] 8 * 27 = (8 + WX)*18 [/tex]

[tex] 216 = 144 + 18WX [/tex]

Subtract 144 from each side

[tex] 72 = 18WX [/tex]

Divide both sides by 18

[tex] 4 = WX [/tex]

WX = 4

Answer:

B. 16 = 4y

y = 4

Answer:

B. 16 = 4y

Step-by-step explanation:

I hope this helps!

Answer:

The rate of simple interest for loan was 8%

Step-by-step explanation:

Given

Principal amount = p = $6200

Time = t = 1 year

Amount after interest = $6696

We have to calculate the amount of interest first

So,

Interest amount =I= Amount after interest - principal amount

= 6696-6200

=$496

The formula for simple interest is:

The rate of simple interest for loan was 8%

Keywords: Simple interest, percentage

Learn more about simple interest at:

Answer:

10

Step-by-step explanation:

lol

...its 10

Step-by-step explanation:

1+1+1+1+1= 5

1+1+1+1+1= 5

5+5=10

Answer:

d. -2x²+3x-7

Step-by-step explanation:

Standard form is: Ax²+Bx+C

Answer:

Part A is $21 and part B is $30.21

The expression (124 × 9) × (1/10 × 1/10) is NOT equivalent to 1.24 × 0.9. which is the correct answer would be an option (D).

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

A. (124 × 90) × (1/100 × 1/100) simplifies to 1.24 × 0.9 because 124 × 90 = 11160 and 1/100 × 1/100 = 1/10000, so the expression is equivalent to (11160/10000) × 0.9 = 1.24 × 0.9.

Similarly, expressions B and C can be rearranged as (9 × 1/10) × (0.124 × 10), which is also equivalent to 1.24 × 0.9.

B. (124 × 9) × (1/100 × 1/10) simplifies to 1.24 × 0.9 because 124 × 9 = 1116 and 1/100 × 1/10 = 1/1000, so the expression is equivalent to (1116/1000) × 0.9 = 1.24 × 0.9.

C. (0.124 × 9) × (10 × 1/10) also simplifies to 1.24 × 0.9 because 0.124 × 9 = 1.116 and 10 × 1/10 = 1, so the expression is equivalent to (1.116/1) × 0.9 = 1.24 × 0.9.

However, expression D cannot be rearranged to the form 1.24 × 0.9 because it contains the factors 124 and 90, which are not equivalent to 1.24 and 0.9, respectively.

Therefore, expression D is not equivalent to 1.24 × 0.9.

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Answer:

Reason 1 is: Addition

Reason 2 is: Tangent Sum Identity

Reason 3 is: Simplify

Step-by-step explanation: ED 2020

Answer:

Reason 1 is: Addition

Reason 2 is: Tangent Sum Identity

Reason 3 is: Simplify

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

hope this helps. i am in algebra two so you can trust my answer. happy holidays stay safe

Answer:

20 Hope this helps!

Answer:

solution

or, (N+1) th item

_

2

or ,8+1 th item

_

2

or,9

_

2

or,4.5 th item hence the median is4

The median of the given numbers will be 8.5.

The Median is the middlemost value of the numbers arranged in ascending orders. If the number of the data is an odd number so the median will be a middle number if the number of the data is even then the median is the mean of the middle two numbers.

The given data is:-

1 , 1.23 , 2 , 3 , 4 , 13 , 22 , 26.8

The total numbers of the data are 8 so the median will be calculated as:-

Median = ( 4 + 13 ) / 2

Median = 17 / 2

Median = 8.5

Therefore the median of the given numbers will be 8.5.

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Answer:

-100

75

Step-by-step explanation:

Answer:D and E I think

Step-by-step explanation:

Answer:

-4 degrees Celsius

Step-by-step explanation:

F = 25

Substitute into formula:  25 = 9/5C + 32

subtract 32 from each side:  -7 = 9/5C

multiply each side by the reciprocal of 9/5, which is 5/9

-7(5/9) = C

C = -35/9 which is close to -36/9 which is -4 degrees Celsius                                        

Answer:

the ratio:     6:1

Step-by-step explanation:

to make it as a ratio :

We will make 4 years as months

So 4x12 =48

then the ratio: 48:8

                        6:1

hope this helps

Answer:

16cm^2

Step-by-step explanation:

well if you multiply 4 x 8 to find the area it would be 32 but it is a triangle so divide 32 by 2 to get 16

Answer:

16 cm²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

Base b = 8 cm

Height h = 4 cm

Step 2: Find A

Answer:

te puedo responder pero debes hacer primero tu tarea

Step-by-step explanation:

Answer:

If if i did the match correctly then you would be paying $53.33

Step-by-step explanation:

hope this helps!!!!!!! :D

Answer:

The amount of intrest gained was B. $7.50

Step-by-step explanation:

Mark invested $125.

He gaines 3% per year and he did it for 2 years.

.03 x 2 =.06

125 x .06 = 7.50

B. $7.50

Hope this helps!

:)

Picture of the right answers

Hence, the quotient of the rational expression given below is x-3.

How to solve?

To solve the division we will use basic properties of rational numbers here.

The first step is to factor numerator/denominator if possible.

To divide the expressions follow the following steps

1.leave the first fraction as it is

2. Convert division to multiplication

3.Turn the second fraction upside down

([tex]x^{2}[/tex]+5x+6)/x-6 / ([tex]x^{2}[/tex]-9)/2x-12

=([tex]x^{2}[/tex]+5x+6)(2(x-6))/([tex]x^{2}[/tex]-9)(x-6)

=2([tex]x^{2}[/tex]+5x+6)/[tex]x^{2}[/tex]-9

By splitting the quadratic equation into factors we get,

[tex]x^{2}[/tex]+5x+6=(x+2)(x+3)

and using the formula [tex]a^{2}[/tex]-[tex]b^{2}[/tex]=(a-b)(a+b) we get [tex]x^{2}[/tex]-9=(x-3)(x+3)

=2(x+3)(x+2)/(x+3)(x-3)

=2(x+2)/(x-3)

hence, the quotient of the given ration expression is x-3.

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Answer:

40%

Step-by-step explanation:

First, find how many of the first 200 were in color:

200(0.2)

= 40

Then, find how many of the next 300 were in color:

300(0.4)

= 120

Find how many of the last 100 were in color:

100(0.8)

= 80

Then, add these all together to find how many were in color:

40 + 120 + 80

= 240

Then, divide 240 by 600 to find the percent that were in color:

240/600

= 0.4

So, 40% of the 600 advertisements were in color

Answer:

2*5

Step-by-step explanation:

when youre dividing with powers you have to subtract them so 2*5-2*4=2*1. When the power is in brackets you multiply the whole power. So 2*1 x 5 = 2*5.

Answer:

6d+2

Step-by-step explanation:my teacher told me

Answer:

I hope this may help u

Step-by-step explanation:

6×y

Answer:

t = 65 - 4d

Step-by-step explanation:

Linear Modeling

The temperature in St. Louis dropped by 4 degrees every day in one week.

When d days have passed, the temperature will have dropped by 4d degrees.

We know the temperature t at the beginning of the week was 65 degrees.

Thus, when d days pass, the linear model for the temperature t is:

t = 65 - 4d

Answer:

1000 g

Step-by-step explanation:

That is the answer

Answer:

Step-by-step explanation:

1 gram.

Answer:

467

Step-by-step explanation: